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Finding the Fourth Proportional to 107.30, 148.09 and 77.84

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Solution

The fourth proportional to 107.30, 148.09 and 77.84 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 148.09 = 77.84 : x
  2. Step 2: Convert to fraction form
    107.30/148.09 = 77.84/x
  3. Step 3: Cross multiply
    107.30x = 148.09 × 77.84
  4. Step 4: Simplify right side
    107.30x = 11,527.33
  5. Step 5: Solve for x
    x = 11,527.33/107.30
  6. Step 6: Final answer
    x = 107.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.